English

Splicing and the SL(2,C) Casson invariant

Geometric Topology 2021-09-29 v1

Abstract

We establish a formula for the SL(2,C) Casson invariant of spliced sums of homology spheres along knots. Along the way, we show that the SL(2,C) Casson invariant vanishes for spliced sums along knots in the 3-sphere.

Keywords

Cite

@article{arxiv.0707.4134,
  title  = {Splicing and the SL(2,C) Casson invariant},
  author = {Hans U. Boden and Cynthia L. Curtis},
  journal= {arXiv preprint arXiv:0707.4134},
  year   = {2021}
}

Comments

9 pages, 2 figures, to appear in Proc. of the A.M.S

R2 v1 2026-06-21T09:02:28.970Z